What is the Least Common Multiple of 45903 and 45914?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 45903 and 45914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45903 and 45914, than apply into the LCM equation.

GCF(45903,45914) = 11
LCM(45903,45914) = ( 45903 × 45914) / 11
LCM(45903,45914) = 2107590342 / 11
LCM(45903,45914) = 191599122

Least Common Multiple (LCM) of 45903 and 45914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45903 and 45914. First we will calculate the prime factors of 45903 and 45914.

Prime Factorization of 45903

Prime Factorization of 45914

Now multiplying the highest exponent prime factors to calculate the LCM of 45903 and 45914.

LCM(45903,45914) = 3¹ × 11¹ × 13¹ × 107¹ × 2¹ × 2087¹
LCM(45903,45914) = 191599122